Chapter 7: Diophantine Applications over a Finite Field

Chapters in this book

1. Frontmatter i
2. Contents v
3. Introduction 3
4. Part I: Background Material
5. Chapter 1: "Abstract" Theorems of Big Monodromy 23
6. Appendix to Chapter 1: A Result of Zalesskii 43
7. Chapter 2: Lefschetz Pencils, Especially on Curves 51
8. Chapter 3: Induction 71
9. Chapter 4: Middle Convolution 79
10. Part II: Twist Sheaves, over an Algebraically Closed Field
11. Chapter 5: Twist Sheaves and Their Monodromy 85
12. Part III: Twist Sheaves, over a Finite Field
13. Chapter 6: Dependence on Parameters 117
14. Chapter 7: Diophantine Applications over a Finite Field 125
15. Chapter 8: Average Order of Zero in Twist Families 147
16. Part IV: Twist Sheaves, over Schemes of Finite Type over ℤ
17. Chapter 9: Twisting by "Primes", and Working over ℤ 179
18. Chapter 10: Horizontal Results 207
19. References 235
20. Index 241